383086553324409 has 135 divisors (see below), whose sum is σ = 632373436375135. Its totient is φ = 232057407455280.

The previous prime is 383086553324381. The next prime is 383086553324413. The reversal of 383086553324409 is 904423355680383.

It is a happy number.

The square root of 383086553324409 is 19572597.

It is a perfect power (a square), and thus also a powerful number.

383086553324409 is a `hidden beast` number, since 3 + 8 + 3 + 0 + 8 + 6 + 553 + 32 + 4 + 40 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9531513909225 + 373555039415184 = 3087315^2 + 19327572^2 .

It is not a de Polignac number, because 383086553324409 - 2⁷ = 383086553324281 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (383086553324459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 191831022199 + ... + 191831024195.

Almost surely, 2^{383086553324409} is an apocalyptic number.

383086553324409 is the 19572597-th square number.

383086553324409 is the 9786299-th centered octagonal number.

It is an amenable number.

383086553324409 is a deficient number, since it is larger than the sum of its proper divisors (249286883050726).

383086553324409 is an frugal number, since it uses more digits than its factorization.

383086553324409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 383086553324409 in words is "three hundred eighty-three trillion, eighty-six billion, five hundred fifty-three million, three hundred twenty-four thousand, four hundred nine".